title: A DIFFUSE-INTERFACE APPROACH FOR MODELING TRANSPORT, DIFFUSION AND ADSORPTION/DESORPTION OF MATERIAL QUANTITIES ON A DEFORMABLE INTERFACE.
abstract: A method is presented to solve two-phase problems involving a material quantity on an interface. The interface can be advected, stretched, and change topology, and material can be adsorbed to or desorbed from it. The method is based on the use of a diffuse interface framework, which allows a simple implementation using standard finite-difference or finite-element techniques. Here, finite-difference methods on a block-structured adaptive grid are used, and the resulting equations are solved using a non-linear multigrid method. Interfacial flow with soluble surfactants is used as an example of the application of the method, and several test cases are presented demonstrating its accuracy and convergence.
authors.affiliation: Department of Energy and Process Engineering, Norwegian University of Science and Technology, 7491 Trondheim, Norway ( knut.erik.teigen@ntnu.no ).
authors.forename: Knut Erik
authors.initials: KE
authors.lastname: Teigen
authors.forename: Xiangrong
authors.initials: X
authors.lastname: Li
authors.forename: John
authors.initials: J
authors.lastname: Lowengrub
authors.forename: Fan
authors.initials: F
authors.lastname: Wang
authors.forename: Axel
authors.initials: A
authors.lastname: Voigt